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Finding the Fourth Proportional to 304,429.36, 420,106.22 and 168,463.22

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Solution

The fourth proportional to 304,429.36, 420,106.22 and 168,463.22 is: 232,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,429.36 : 420,106.22 = 168,463.22 : x
  2. Step 2: Convert to fraction form
    304,429.36/420,106.22 = 168,463.22/x
  3. Step 3: Cross multiply
    304,429.36x = 420,106.22 × 168,463.22
  4. Step 4: Simplify right side
    304,429.36x = 70,772,443,620.38
  5. Step 5: Solve for x
    x = 70,772,443,620.38/304,429.36
  6. Step 6: Final answer
    x = 232,475.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.